Differential Equations - NOT AVAILABLE IN 2024-2025
(1) General
School: | Of the Environment | ||
Academic Unit: | Department of Marine Sciences | ||
Level of studies: | Undergraduate | ||
Course Code: | 191ΜΥ24Ε | Semester: | F |
Course Title: | Differential Equations - NOT AVAILABLE IN 2024-2025 | ||
Independent Teaching Activities | Weekly Teaching Hours | Credits | |
Total credits | 5 | ||
Course Type: | Specialised general knowledge | ||
Prerequisite Courses: | Prerequisites are the courses Mathematics I and Mathematics II. Attendance and participation in the course is required and unexcused absences may result in failure. | ||
Language of Instruction and Examinations: | Greek. | ||
Is the course offered to Erasmus students: | Yes. In case of participation of Erasmus students, the course is offered in English. | ||
Course Website (Url): | https://www.mar.aegean.gr/?lang=en&pg=3.1.1&lesson=1070 |
(2) Learning Outcomes
Learning Outcomes
It is expected that students should learn the material presented in the Syllabus.
General Competences
The aim of the course is the introduction to modelling via differential equations.
(3) Syllabus
Part A. Ordinary differential equations (second-order linear differential equations, linear differential equations with constant coefficients). Partial differential equations (Fourier series, Laplace equation, the method of separation of variables, linear wave equation, diffusion equation, problems involving approximate solutions with MATHEMATICA).
Part B. One of the following:
(1) Dynamical systems (two-dimensional nonlinear dynamical systems, conservative systems, models in population dynamics, competing species, prey-predator models, epidemic models).
(2) Biological invasions (models described by the Fischer-Kolmogorov equation).
(3). Applications of PDEs in heat transfer and hydrodynamics.
(4) Teaching and Learning Methods - Evaluation
Delivery: | Face-to-face | ||||||||||||||||||
Use of Information and Communication Technology: | Communication with students via the e-class platform. Students are encouraged to use MATHEMATICA. | ||||||||||||||||||
Teaching Methods: |
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Student Performance Evaluation: | One problem solved as homework and final exam or two problems solved as homework. Attendance and participation in the course is required and unexcused absences may result in failure. The overall grading scheme is based on a case-by-case evaluation of each student's growth and progress. |
(5) Attached Bibliography
- Suggested bibliography:
Class Notes, Differential Equations, 250 pages (in Greek).
Γ. Παντελίδης, Δ. Κραββαρίτης και Ν. Χατζησάββας, Συνήθεις Διαφορικές Εξισώσεις (Εκδόσεις Ζήτη).
Σ. Τραχανάς, Μερικές Διαφορικές Εξισώσεις (Πανεπιστημιακές Εκδόσεις Κρήτης).
E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary Value Problems (John Wiley Inc., 2005).